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Finding the Fourth Proportional to 364,806, 503,422.47 and 203,656.50

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Solution

The fourth proportional to 364,806, 503,422.47 and 203,656.50 is: 281,040.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,806 : 503,422.47 = 203,656.50 : x
  2. Step 2: Convert to fraction form
    364,806/503,422.47 = 203,656.50/x
  3. Step 3: Cross multiply
    364,806x = 503,422.47 × 203,656.50
  4. Step 4: Simplify right side
    364,806x = 102,525,258,261.56
  5. Step 5: Solve for x
    x = 102,525,258,261.56/364,806
  6. Step 6: Final answer
    x = 281,040.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.